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Gravitational-wave bursts with memory: the Christodoulou effect

Thorne, Kip S. (1992) Gravitational-wave bursts with memory: the Christodoulou effect. Physical Review D, 45 (2). pp. 520-524. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:THOprd92

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Abstract

The "memory" of a gravitational-wave burst is the permanent relative displacement that it imposes on free test masses, or more precisely, the permanent change in the burst’s gravitational-wave field hjkTT. This memory, in general, is equal to the change, from before the burst to afterward, in the transverse-traceless (TT) part of the "1/r, Coulomb-type" gravitational field generated by the four-momenta of the source’s various independent pieces. Christodoulou has recently identified a contribution to a burst’s memory that arises from nonlinearities in the vacuum Einstein field equation. This paper shows that the Christodoulou memory is precisely the TT part of the "1/r, Coulomb-type" gravitational field produced by the burst’s gravitons, and it therefore gets built up over the same length of time τbwm as it takes for the source to emit the gravitons. The sensitivity of broad-band gravitational-wave detectors such as LIGO to the Christodoulou memory is analyzed and discussed.


Item Type:Article
Additional Information:©1992 The American Physical Society. Received 16 July 1991. I thank Demetrious Christodoulou for making available to me the results of his research long in advance of publication. For helpful discussions I thank Christodoulou, Vladimir Braginsky, John Wheeler, and the LIGO Science team. For helpful suggestions about the presentation I thank Stan Whitcomb. This research was supported in part by National Science Foundation Grant No. AST-8817792.
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Record Number:CaltechAUTHORS:THOprd92
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:THOprd92
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.45.520
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7126
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Jan 2007
Last Modified:26 Dec 2012 09:29

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